Newform data - 50023.2.a.b

Formats: - HTML - YAML - JSON - 2025-11-25T04:12:21.247693

• mf_newforms •

  Column	Type
  Nk2	integer
  analytic_conductor	double precision
  analytic_rank	smallint
  analytic_rank_proved	boolean
  artin_degree	integer
  artin_field	numeric[]
  artin_field_label	text
  artin_image	text
  atkin_lehner_eigenvals	integer[]
  atkin_lehner_string	text
  char_conductor	integer
  char_degree	integer
  char_is_minimal	boolean
  char_is_real	boolean
  char_orbit_index	smallint
  char_orbit_label	text
  char_order	integer
  char_parity	smallint
  char_values	jsonb
  cm_discs	integer[]
  conrey_index	integer
  dim	integer
  embedded_related_objects	text[]
  field_disc	numeric
  field_disc_factorization	numeric[]
  field_poly	numeric[]
  field_poly_is_cyclotomic	boolean
  field_poly_is_real_cyclotomic	boolean
  field_poly_root_of_unity	integer
  fricke_eigenval	smallint
  has_non_self_twist	smallint
  hecke_cutters	jsonb
  hecke_orbit	integer
  hecke_orbit_code	bigint
  hecke_ring_generator_nbound	integer
  hecke_ring_index	numeric
  hecke_ring_index_factorization	numeric[]
  hecke_ring_index_proved	boolean
  inner_twist_count	integer
  inner_twists	integer[]
  is_cm	boolean
  is_largest	boolean
  is_maximal	boolean
  is_polredabs	boolean
  is_rm	boolean
  is_self_dual	boolean
  is_self_twist	boolean
  is_twist_minimal	boolean
  label	text
  level	integer
  level_is_powerful	boolean
  level_is_prime	boolean
  level_is_prime_power	boolean
  level_is_prime_square	boolean
  level_is_square	boolean
  level_is_squarefree	boolean
  level_primes	integer[]
  level_radical	integer
  minimal_twist	text
  nf_label	text
  prim_orbit_index	smallint
  projective_field	numeric[]
  projective_field_label	text
  projective_image	text
  projective_image_type	text
  qexp_display	text
  related_objects	text[]
  relative_dim	integer
  rm_discs	integer[]
  sato_tate_group	text
  self_twist_discs	integer[]
  self_twist_type	smallint
  space_label	text
  trace_display	numeric[]
  trace_hash	bigint
  trace_moments	numeric[]
  trace_zratio	numeric
  traces	numeric[]
  weight	smallint
  weight_parity	smallint

  
  {'Nk2': 200092, 'analytic_conductor': 399.43566603105086, 'atkin_lehner_eigenvals': [[50023, -1]], 'atkin_lehner_string': '-', 'char_conductor': 1, 'char_degree': 1, 'char_is_minimal': True, 'char_is_real': True, 'char_orbit_index': 1, 'char_orbit_label': 'a', 'char_order': 1, 'char_parity': 1, 'char_values': [50023, 1, [3], [1]], 'cm_discs': [], 'conrey_index': 1, 'dim': 2139, 'fricke_eigenval': -1, 'has_non_self_twist': 0, 'hecke_orbit': 2, 'hecke_orbit_code': 4503599660974951, 'inner_twist_count': 1, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1]], 'is_cm': False, 'is_largest': True, 'is_maximal': True, 'is_rm': False, 'is_self_dual': True, 'is_self_twist': False, 'is_twist_minimal': True, 'label': '50023.2.a.b', 'level': 50023, 'level_is_powerful': False, 'level_is_prime': True, 'level_is_prime_power': True, 'level_is_prime_square': False, 'level_is_square': False, 'level_is_squarefree': True, 'level_primes': [50023], 'level_radical': 50023, 'minimal_twist': '50023.2.a.b', 'prim_orbit_index': 1, 'related_objects': [], 'relative_dim': 2139, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '50023.2.a', 'trace_display': [73, 119, 144, 71], 'traces': [2139, 73, 119, 2191, 144, 63, 71, 216, 2356, 72, 116, 350, 151, 159, 110, 2283, 692, 210, 92, 343, 134, 102, 294, 180, 2457, 351, 476, 188, 272, 141, 105, 485, 441, 133, 290, 2592, 229, 514, 125, 186, 525, 318, 161, 318, 396, 56, 638, 787, 2542, 310, 133, 345, 675, 225, 258, 464, 439, 166, 360, 271, 236, 653, 331, 2470, 582, 219, 154, 1352, 453, 192, 275, 584, 613, 275, 552, 231, 1083, 249, 102, 701, 2967, 327, 597, 293, 266, 278, 453, 278, 1075, 283, 100, 853, 513, 172, 385, 386, 566, 633, 304, 2745, 749, 319, 351, 1016, 550, 138, 459, 1378, 116, 572, 308, 399, 1059, 247, 282, 603, 718, 376, 544, 374, 2621, 709, 422, 277, 804, 318, 270, 973, 509, 146, 582, 760, 411, 403, 347, 336, 1672, 451, 230, 712, 302, 289, 765, 2985, 546, 540, 759, 482, 605, 225, 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• label 50023.2.a.b does not appear in mf_hecke_nf
• mf_newspaces •

  Column	Type
  ALdims	integer[]
  ALdims_eis_new	integer[]
  ALdims_eis_old	integer[]
  ALdims_old	integer[]
  Nk2	integer
  a4_dim	integer
  a5_dim	integer
  analytic_conductor	double precision
  char_conductor	integer
  char_degree	integer
  char_is_real	boolean
  char_orbit_index	smallint
  char_orbit_label	text
  char_order	integer
  char_parity	smallint
  char_values	jsonb
  conrey_index	integer
  cusp_dim	integer
  dihedral_dim	integer
  dim	integer
  eis_dim	integer
  eis_new_dim	integer
  hecke_cutter_primes	integer[]
  hecke_orbit_code	bigint
  hecke_orbit_dims	integer[]
  label	text
  level	integer
  level_is_powerful	boolean
  level_is_prime	boolean
  level_is_prime_power	boolean
  level_is_prime_square	boolean
  level_is_square	boolean
  level_is_squarefree	boolean
  level_primes	integer[]
  level_radical	integer
  mf_dim	integer
  mf_new_dim	integer
  num_forms	smallint
  plus_dim	integer
  prim_orbit_index	smallint
  relative_dim	integer
  s4_dim	integer
  sturm_bound	integer
  trace_bound	integer
  trace_display	numeric[]
  traces	numeric[]
  weight	smallint
  weight_parity	smallint

  
  {'ALdims': [2029, 2139], 'ALdims_eis_new': [0, 1], 'ALdims_eis_old': [0, 0], 'ALdims_old': [0, 0], 'Nk2': 200092, 'analytic_conductor': 399.43566603105086, 'char_conductor': 1, 'char_degree': 1, 'char_is_real': True, 'char_orbit_index': 1, 'char_orbit_label': 'a', 'char_order': 1, 'char_parity': 1, 'char_values': [50023, 1, [3], [1]], 'conrey_index': 1, 'cusp_dim': 4168, 'dim': 4168, 'eis_dim': 1, 'eis_new_dim': 1, 'hecke_cutter_primes': [], 'hecke_orbit_code': 33604455, 'hecke_orbit_dims': [2029, 2139], 'label': '50023.2.a', 'level': 50023, 'level_is_powerful': False, 'level_is_prime': True, 'level_is_prime_power': True, 'level_is_prime_square': False, 'level_is_square': False, 'level_is_squarefree': True, 'level_primes': [50023], 'level_radical': 50023, 'mf_dim': 4169, 'mf_new_dim': 4169, 'num_forms': 2, 'plus_dim': 2029, 'prim_orbit_index': 1, 'relative_dim': 4168, 'sturm_bound': 8337, 'trace_bound': 1, 'trace_display': [-1, 0, 2, -6], 'traces': [4168, -1, 0, 4167, 2, 0, -6, -3, 4170, -8, 0, 2, -4, -10, 0, 4153, 14, 9, 0, -2, -4, -4, 4, 6, 4168, -12, 24, -36, -6, -34, -2, -17, -2, 16, -4, 4165, 0, 12, 10, -48, 2, 4, -8, -12, -6, -20, 8, 4, 4142, -37, 46, -12, 20, 18, -24, -8, -10, -8, 12, -22, 6, 38, -14, 4179, -36, -14, -40, 54, 18, -24, 10, 13, -4, 52, 18, -10, 22, 46, -28, -18, 4168, -12, 14, 50, 40, -50, 22, 4, 12, -50, -60, 50, 34, 8, -26, 58, -12, 87, 32, 4153, 4, 42, -6, -26, -68, 46, 18, 132, -22, -32, -16, -46, 12, 34, -60, -34, 18, 28, -16, -56, 4154, 32, 40, 46, 12, -108, -72, -49, 34, -36, 6, -8, -34, -6, -42, 30, 42, 2, -30, -136, 20, -6, 18, 4153, 12, 6, 52, -10, 52, -144, -10, -30, 138, -88, -18, -56, -36, -82, 48, -130, -16, -63, -22, -4, -84, -28, -4, -30, 4160, 46, 116, 34, -8, 14, -110, -34, 34, 18, -50, -136, -22, -80, -28, -70, 36, -32, -10, 72, -14, -10, 32, -102, 48, -30, -132, 4049, 16, -120, 28, -105, 42, 64, 32, 144, -46, -22, 40, -52, 80, -92, -26, 68, 22, 8, -10, 120, -58, -18, 10, -80, 60, -38, -4, 22, 4210, -16, 38, -44, -36, 80, 56, -12, 82, -38, 10, -16, 80, -52, -46, -96, -16, -129, 112, -134, 10, 8, -88, 190, -46, 16, 26, -162, -8, -82, -128, 4081, 78, 48, -32, -192, 60, -30, 54, -96, -92, -64, 126, -154, 22, -224, 54, 186, -52, 8, -110, 166, -82, -6, -2, -240, 66, -14, -64, 18, -48, 46, 16, -117, 4306, 24, 42, -56, 38, -2, -26, 64, 76, -80, -14, -12, -178, 8, 20, -30, 72, 40, 14, 10, -14, -34, -22, 44, -16, 52, -26, 30, 82, -40, -12, 54, 64, -26, 0, 4407, -120, 46, 0, 64, -90, -188, 56, 40, 52, 24, 6, 172, -16, 43, -26, 92, -74, 32, -90, -294, -98, 6, 18, -42, 34, -30, -104, -4, 114, 138, 8, 44, -12, 34, -12, -36, 4178, 26, 132, -158, -28, -50, -22, -4, -118, -238, -16, 26, 54, 74, -24, 90, 144, -178, -52, -126, -34, -32, 32, 228, -98, -8, -56, -192, -94, -166, 84, 87, -30, -92, 60, 60, -2, 2, 22, 4001, 138, 218, -50, 8, -116, 20, -28, -132, -70, -190, 310, -46, 60, -310, 28, -184, 8, 2, -32, -222, -52, -40, 212, 70, 172, 68, 20, -50, -124, -120, 12, 116, -46, -34, -166, -180, 46, -102, -32, -162, 4180, 176, 142, -126, -132, -70, -60, 58, -96, -35, -132, -100, 120, -54, 168, 204, 22, 2, 400, -342, 6, -406, 36, -60, -74, 100, 98, -132, -182, -270, 140, 60, -52, -88, -104, 82, 22, 24, 24, -406, -6, -176, -26, 4039, -132, 34, -8, -152, -84, 28, 6, 24, 50, -210, -196, 152, -44, -136, -64, -20, -140, 90, -64, -328, -20, -32, -62, -200, 4, 138, 22, -117, 2, 206, -180, 52, 62, -76, 100, -70, -34, -434, 64, -34, -158, 248, -38, -108, 4098, -76, 52, -8, -68, 116, 22, -178, 42, -58, -118, -302, 90, 168, 114, 116, 226, -102, -4, -90, -60, -220, -22, 194, -108, 60, 172, 54, -56, 36, -252, -484, 156, 214, -2, 154, -124, -82, 12, -292, 132, -212, -10, -172, 134, 296, -14, 4423, -124, 17, -18, 66, 140, -526, -104, -162, -144, -38, 178, 220, -106, -242, -76, -32, 304, 52, -76, 74, -46, 54, 12, -488, -146, -28, -96, 6, -120, 0, -186, -134, 62, -58, -22, 396, -78, -302, -102, -130, 60, 138, 70, 80, -72, -70, 54, -178, 3952, 68, -48, -44, 82, 108, 54, -206, 62, -4, -70, 330, -184, -318, -60, -410, 64, -470, -204, -76, -214, 138, 54, -439, 52, -44, -142, 104, 24, 72, -78, -122, 122, -48, 42, -654, -8, 34, 134, 24, -154, 436, -72, -300, -32, -244, 56, 94, -22, -14, 424, 4043, -76, -358, -118, -110, 6, -50, 110, -166, -2, -440, -152, 0, -136, 46, -78, -102, 50, -244, -2, -64, 32, 110, 102, -738, -48, -52, 74, -338, 130, 44, 30, -126, 0, -90, -84, -84, 188, -298, -154, -196, -144, -94, 132, -926, -238, -205, 134, 12, -164, -396, -60, -118, 4266, 2, 112, -392, 46, -342, -490, -356, 70, 42, 82, -202, -90, 74, 122, -44, 134, -468, -28, -312, -94, -366, -50, 194, 94, 154, -160, 96, -6, -350, 76, -260, 20, 246, -332, -252, -80, 18, -114, -472, 42, 422, 564, 442, 104, -178, -104, -30, -236, -284, 32, -54, 72, 80, 178, 3685, 118, -138, 14, -146, 52, -366, -144, -354, -14, 64, 4, 126, 106, 0, 280, -215, 98, -56, 304, 46, 62, -168, -64, 286, 204, -220, -56, 10, -216, 170, 84, 396, -18, -54, -204, -358, -116, -94, -186, -158, -482, -188, -72, 354, 130, 80, 106, -80, 398, -38, -12, 46, 180, 140, 104, -242, 3984, 4, 16, -166, 72, 218, 118, 262, -128, 228, 68, -2, -88, -158, -128, 290, 64, -16, -214, 74, -188, 46, 118, 654, 70, 348, 334, -338, 128, 10, -224, 36, 58, 0, 86, -56, 66, 30, 62, -156, 8, 631, 38, -34, 148, 140, 132, -566, -490, 228, 20, 264, 112, -42, 26, -274, -126, -10, 206, 4513, 180, 226, -260, -124, -78, 464, -38, 60, 186, -294, 54, 0, -82, 298, 182, 122, 182, 34, 54, 222, -118, 112, -280, 392, -156, 270, 90, -168, 130, 12, -78, 164, -8, -300, 212, -60, -48, -342, 150, -92, 4, -20, -38, -162, -406, -204, -10, 418, 292, 156, 62, 178, 126, -150, 60, -96, 236, -134, 42, -80, 4154, 278, 118, -114, -170, 280, -232, -179, -226, 454, -34, 632, 12, -280, -76, -204, 206, 194, 74, 154, 78, 0, 360, 396, 168, -368, 60, -440, -166, -178, -82, 504, 32, -210, -12, 138, -276, -130, -84, -376], 'weight': 2, 'weight_parity': 1}
• mf_twists_nf •

  Column	Type
  conductor	integer
  degree	integer
  multiplicity	smallint
  order	integer
  parity	smallint
  self_twist_disc	integer
  source_char_orbit	smallint
  source_dim	integer
  source_hecke_orbit	integer
  source_is_minimal	boolean
  source_label	text
  source_level	integer
  target_char_orbit	smallint
  target_dim	integer
  target_hecke_orbit	integer
  target_is_minimal	boolean
  target_label	text
  target_level	integer
  twist_class_label	text
  twist_class_level	integer
  twisting_char_label	text
  twisting_char_orbit	smallint
  weight	smallint

  
  {'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 1, 'source_dim': 2139, 'source_hecke_orbit': 2, 'source_is_minimal': True, 'source_label': '50023.2.a.b', 'source_level': 50023, 'target_char_orbit': 1, 'target_dim': 2139, 'target_hecke_orbit': 2, 'target_is_minimal': True, 'target_label': '50023.2.a.b', 'target_level': 50023, 'twist_class_label': '50023.2.a.b', 'twist_class_level': 50023, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
• hecke_orbit_code 4503599660974951 does not appear in mf_hecke_charpolys
• label 50023.2.a.b does not appear in mf_newform_portraits
• mf_hecke_traces •

  Column	Type
  hecke_orbit_code	bigint
  n	integer
  trace_an	numeric

  
  
  • id: 75025626
    {'hecke_orbit_code': 4503599660974951, 'n': 1, 'trace_an': 2139}
  • id: 75025627
    {'hecke_orbit_code': 4503599660974951, 'n': 2, 'trace_an': 73}
  • id: 75025628
    {'hecke_orbit_code': 4503599660974951, 'n': 3, 'trace_an': 119}
  • id: 75025629
    {'hecke_orbit_code': 4503599660974951, 'n': 4, 'trace_an': 2191}
  • id: 75025630
    {'hecke_orbit_code': 4503599660974951, 'n': 5, 'trace_an': 144}
  • id: 75025631
    {'hecke_orbit_code': 4503599660974951, 'n': 6, 'trace_an': 63}
  • id: 75025632
    {'hecke_orbit_code': 4503599660974951, 'n': 7, 'trace_an': 71}
  • id: 75025633
    {'hecke_orbit_code': 4503599660974951, 'n': 8, 'trace_an': 216}
  • id: 75025634
    {'hecke_orbit_code': 4503599660974951, 'n': 9, 'trace_an': 2356}
  • id: 75025635
    {'hecke_orbit_code': 4503599660974951, 'n': 10, 'trace_an': 72}
  • id: 75025636
    {'hecke_orbit_code': 4503599660974951, 'n': 11, 'trace_an': 116}
  • id: 75025637
    {'hecke_orbit_code': 4503599660974951, 'n': 12, 'trace_an': 350}
  • id: 75025638
    {'hecke_orbit_code': 4503599660974951, 'n': 13, 'trace_an': 151}
  • id: 75025639
    {'hecke_orbit_code': 4503599660974951, 'n': 14, 'trace_an': 159}
  • id: 75025640
    {'hecke_orbit_code': 4503599660974951, 'n': 15, 'trace_an': 110}
  • id: 75025641
    {'hecke_orbit_code': 4503599660974951, 'n': 16, 'trace_an': 2283}
  • id: 75025642
    {'hecke_orbit_code': 4503599660974951, 'n': 17, 'trace_an': 692}
  • id: 75025643
    {'hecke_orbit_code': 4503599660974951, 'n': 18, 'trace_an': 210}
  • id: 75025644
    {'hecke_orbit_code': 4503599660974951, 'n': 19, 'trace_an': 92}
  • id: 75025645
    {'hecke_orbit_code': 4503599660974951, 'n': 20, 'trace_an': 343}
  • id: 75025646
    {'hecke_orbit_code': 4503599660974951, 'n': 21, 'trace_an': 134}
  • id: 75025647
    {'hecke_orbit_code': 4503599660974951, 'n': 22, 'trace_an': 102}
  • id: 75025648
    {'hecke_orbit_code': 4503599660974951, 'n': 23, 'trace_an': 294}
  • id: 75025649
    {'hecke_orbit_code': 4503599660974951, 'n': 24, 'trace_an': 180}
  • id: 75025650
    {'hecke_orbit_code': 4503599660974951, 'n': 25, 'trace_an': 2457}
  • id: 75025651
    {'hecke_orbit_code': 4503599660974951, 'n': 26, 'trace_an': 351}
  • id: 75025652
    {'hecke_orbit_code': 4503599660974951, 'n': 27, 'trace_an': 476}
  • id: 75025653
    {'hecke_orbit_code': 4503599660974951, 'n': 28, 'trace_an': 188}
  • id: 75025654
    {'hecke_orbit_code': 4503599660974951, 'n': 29, 'trace_an': 272}
  • id: 75025655
    {'hecke_orbit_code': 4503599660974951, 'n': 30, 'trace_an': 141}
  • id: 75025656
    {'hecke_orbit_code': 4503599660974951, 'n': 31, 'trace_an': 105}
  • id: 75025657
    {'hecke_orbit_code': 4503599660974951, 'n': 32, 'trace_an': 485}
  • id: 75025658
    {'hecke_orbit_code': 4503599660974951, 'n': 33, 'trace_an': 441}
  • id: 75025659
    {'hecke_orbit_code': 4503599660974951, 'n': 34, 'trace_an': 133}
  • id: 75025660
    {'hecke_orbit_code': 4503599660974951, 'n': 35, 'trace_an': 290}
  • id: 75025661
    {'hecke_orbit_code': 4503599660974951, 'n': 36, 'trace_an': 2592}
  • id: 75025662
    {'hecke_orbit_code': 4503599660974951, 'n': 37, 'trace_an': 229}
  • id: 75025663
    {'hecke_orbit_code': 4503599660974951, 'n': 38, 'trace_an': 514}
  • id: 75025664
    {'hecke_orbit_code': 4503599660974951, 'n': 39, 'trace_an': 125}
  • id: 75025665
    {'hecke_orbit_code': 4503599660974951, 'n': 40, 'trace_an': 186}
  • id: 75025666
    {'hecke_orbit_code': 4503599660974951, 'n': 41, 'trace_an': 525}
  • id: 75025667
    {'hecke_orbit_code': 4503599660974951, 'n': 42, 'trace_an': 318}
  • id: 75025668
    {'hecke_orbit_code': 4503599660974951, 'n': 43, 'trace_an': 161}
  • id: 75025669
    {'hecke_orbit_code': 4503599660974951, 'n': 44, 'trace_an': 318}
  • id: 75025670
    {'hecke_orbit_code': 4503599660974951, 'n': 45, 'trace_an': 396}
  • id: 75025671
    {'hecke_orbit_code': 4503599660974951, 'n': 46, 'trace_an': 56}
  • id: 75025672
    {'hecke_orbit_code': 4503599660974951, 'n': 47, 'trace_an': 638}
  • id: 75025673
    {'hecke_orbit_code': 4503599660974951, 'n': 48, 'trace_an': 787}
  • id: 75025674
    {'hecke_orbit_code': 4503599660974951, 'n': 49, 'trace_an': 2542}
  • id: 75025675
    {'hecke_orbit_code': 4503599660974951, 'n': 50, 'trace_an': 310}
  • id: 75025676
    {'hecke_orbit_code': 4503599660974951, 'n': 51, 'trace_an': 133}
  • id: 75025677
    {'hecke_orbit_code': 4503599660974951, 'n': 52, 'trace_an': 345}
  • id: 75025678
    {'hecke_orbit_code': 4503599660974951, 'n': 53, 'trace_an': 675}
  • id: 75025679
    {'hecke_orbit_code': 4503599660974951, 'n': 54, 'trace_an': 225}
  • id: 75025680
    {'hecke_orbit_code': 4503599660974951, 'n': 55, 'trace_an': 258}
  • id: 75025681
    {'hecke_orbit_code': 4503599660974951, 'n': 56, 'trace_an': 464}
  • id: 75025682
    {'hecke_orbit_code': 4503599660974951, 'n': 57, 'trace_an': 439}
  • id: 75025683
    {'hecke_orbit_code': 4503599660974951, 'n': 58, 'trace_an': 166}
  • id: 75025684
    {'hecke_orbit_code': 4503599660974951, 'n': 59, 'trace_an': 360}
  • id: 75025685
    {'hecke_orbit_code': 4503599660974951, 'n': 60, 'trace_an': 271}
  • id: 75025686
    {'hecke_orbit_code': 4503599660974951, 'n': 61, 'trace_an': 236}
  • id: 75025687
    {'hecke_orbit_code': 4503599660974951, 'n': 62, 'trace_an': 653}
  • id: 75025688
    {'hecke_orbit_code': 4503599660974951, 'n': 63, 'trace_an': 331}
  • id: 75025689
    {'hecke_orbit_code': 4503599660974951, 'n': 64, 'trace_an': 2470}
  • id: 75025690
    {'hecke_orbit_code': 4503599660974951, 'n': 65, 'trace_an': 582}
  • id: 75025691
    {'hecke_orbit_code': 4503599660974951, 'n': 66, 'trace_an': 219}
  • id: 75025692
    {'hecke_orbit_code': 4503599660974951, 'n': 67, 'trace_an': 154}
  • id: 75025693
    {'hecke_orbit_code': 4503599660974951, 'n': 68, 'trace_an': 1352}
  • id: 75025694
    {'hecke_orbit_code': 4503599660974951, 'n': 69, 'trace_an': 453}
  • id: 75025695
    {'hecke_orbit_code': 4503599660974951, 'n': 70, 'trace_an': 192}
  • id: 75025696
    {'hecke_orbit_code': 4503599660974951, 'n': 71, 'trace_an': 275}
  • id: 75025697
    {'hecke_orbit_code': 4503599660974951, 'n': 72, 'trace_an': 584}
  • id: 75025698
    {'hecke_orbit_code': 4503599660974951, 'n': 73, 'trace_an': 613}
  • id: 75025699
    {'hecke_orbit_code': 4503599660974951, 'n': 74, 'trace_an': 275}
  • id: 75025700
    {'hecke_orbit_code': 4503599660974951, 'n': 75, 'trace_an': 552}
  • id: 75025701
    {'hecke_orbit_code': 4503599660974951, 'n': 76, 'trace_an': 231}
  • id: 75025702
    {'hecke_orbit_code': 4503599660974951, 'n': 77, 'trace_an': 1083}
  • id: 75025703
    {'hecke_orbit_code': 4503599660974951, 'n': 78, 'trace_an': 249}
  • id: 75025704
    {'hecke_orbit_code': 4503599660974951, 'n': 79, 'trace_an': 102}
  • id: 75025705
    {'hecke_orbit_code': 4503599660974951, 'n': 80, 'trace_an': 701}
  • id: 75025706
    {'hecke_orbit_code': 4503599660974951, 'n': 81, 'trace_an': 2967}
  • id: 75025707
    {'hecke_orbit_code': 4503599660974951, 'n': 82, 'trace_an': 327}
  • id: 75025708
    {'hecke_orbit_code': 4503599660974951, 'n': 83, 'trace_an': 597}
  • id: 75025709
    {'hecke_orbit_code': 4503599660974951, 'n': 84, 'trace_an': 293}
  • id: 75025710
    {'hecke_orbit_code': 4503599660974951, 'n': 85, 'trace_an': 266}
  • id: 75025711
    {'hecke_orbit_code': 4503599660974951, 'n': 86, 'trace_an': 278}
  • id: 75025712
    {'hecke_orbit_code': 4503599660974951, 'n': 87, 'trace_an': 453}
  • id: 75025713
    {'hecke_orbit_code': 4503599660974951, 'n': 88, 'trace_an': 278}
  • id: 75025714
    {'hecke_orbit_code': 4503599660974951, 'n': 89, 'trace_an': 1075}
  • id: 75025715
    {'hecke_orbit_code': 4503599660974951, 'n': 90, 'trace_an': 283}
  • id: 75025716
    {'hecke_orbit_code': 4503599660974951, 'n': 91, 'trace_an': 100}
  • id: 75025717
    {'hecke_orbit_code': 4503599660974951, 'n': 92, 'trace_an': 853}
  • id: 75025718
    {'hecke_orbit_code': 4503599660974951, 'n': 93, 'trace_an': 513}
  • id: 75025719
    {'hecke_orbit_code': 4503599660974951, 'n': 94, 'trace_an': 172}
  • id: 75025720
    {'hecke_orbit_code': 4503599660974951, 'n': 95, 'trace_an': 385}
  • id: 75025721
    {'hecke_orbit_code': 4503599660974951, 'n': 96, 'trace_an': 386}
  • id: 75025722
    {'hecke_orbit_code': 4503599660974951, 'n': 97, 'trace_an': 566}
  • id: 75025723
    {'hecke_orbit_code': 4503599660974951, 'n': 98, 'trace_an': 633}
  • id: 75025724
    {'hecke_orbit_code': 4503599660974951, 'n': 99, 'trace_an': 304}
  • id: 75025725
    {'hecke_orbit_code': 4503599660974951, 'n': 100, 'trace_an': 2745}
  • id: 75025726
    {'hecke_orbit_code': 4503599660974951, 'n': 101, 'trace_an': 749}
  • id: 75025727
    {'hecke_orbit_code': 4503599660974951, 'n': 103, 'trace_an': 351}
  • id: 75025728
    {'hecke_orbit_code': 4503599660974951, 'n': 107, 'trace_an': 459}
  • id: 75025729
    {'hecke_orbit_code': 4503599660974951, 'n': 109, 'trace_an': 116}
  • id: 75025730
    {'hecke_orbit_code': 4503599660974951, 'n': 113, 'trace_an': 1059}
  • id: 75025731
    {'hecke_orbit_code': 4503599660974951, 'n': 121, 'trace_an': 2621}
  • id: 75025732
    {'hecke_orbit_code': 4503599660974951, 'n': 125, 'trace_an': 804}
  • id: 75025733
    {'hecke_orbit_code': 4503599660974951, 'n': 127, 'trace_an': 270}
  • id: 75025734
    {'hecke_orbit_code': 4503599660974951, 'n': 128, 'trace_an': 973}
  • id: 75025735
    {'hecke_orbit_code': 4503599660974951, 'n': 131, 'trace_an': 582}
  • id: 75025736
    {'hecke_orbit_code': 4503599660974951, 'n': 137, 'trace_an': 1672}
  • id: 75025737
    {'hecke_orbit_code': 4503599660974951, 'n': 139, 'trace_an': 230}
  • id: 75025738
    {'hecke_orbit_code': 4503599660974951, 'n': 149, 'trace_an': 605}
  • id: 75025739
    {'hecke_orbit_code': 4503599660974951, 'n': 151, 'trace_an': 137}
  • id: 75025740
    {'hecke_orbit_code': 4503599660974951, 'n': 157, 'trace_an': 849}
  • id: 75025741
    {'hecke_orbit_code': 4503599660974951, 'n': 163, 'trace_an': 292}
  • id: 75025742
    {'hecke_orbit_code': 4503599660974951, 'n': 167, 'trace_an': 664}
  • id: 75025743
    {'hecke_orbit_code': 4503599660974951, 'n': 169, 'trace_an': 2710}
  • id: 75025744
    {'hecke_orbit_code': 4503599660974951, 'n': 173, 'trace_an': 1159}
  • id: 75025745
    {'hecke_orbit_code': 4503599660974951, 'n': 179, 'trace_an': 518}
  • id: 75025746
    {'hecke_orbit_code': 4503599660974951, 'n': 181, 'trace_an': 402}
  • id: 75025747
    {'hecke_orbit_code': 4503599660974951, 'n': 191, 'trace_an': 592}
  • id: 75025748
    {'hecke_orbit_code': 4503599660974951, 'n': 193, 'trace_an': 519}
  • id: 75025749
    {'hecke_orbit_code': 4503599660974951, 'n': 197, 'trace_an': 905}
  • id: 75025750
    {'hecke_orbit_code': 4503599660974951, 'n': 199, 'trace_an': 386}
  • id: 75025751
    {'hecke_orbit_code': 4503599660974951, 'n': 211, 'trace_an': 150}
  • id: 75025752
    {'hecke_orbit_code': 4503599660974951, 'n': 223, 'trace_an': 566}
  • id: 75025753
    {'hecke_orbit_code': 4503599660974951, 'n': 227, 'trace_an': 709}
  • id: 75025754
    {'hecke_orbit_code': 4503599660974951, 'n': 229, 'trace_an': 497}
  • id: 75025755
    {'hecke_orbit_code': 4503599660974951, 'n': 233, 'trace_an': 1634}
  • id: 75025756
    {'hecke_orbit_code': 4503599660974951, 'n': 239, 'trace_an': 431}
  • id: 75025757
    {'hecke_orbit_code': 4503599660974951, 'n': 241, 'trace_an': 506}
  • id: 75025758
    {'hecke_orbit_code': 4503599660974951, 'n': 243, 'trace_an': 1447}
  • id: 75025759
    {'hecke_orbit_code': 4503599660974951, 'n': 251, 'trace_an': 1034}
  • id: 75025760
    {'hecke_orbit_code': 4503599660974951, 'n': 256, 'trace_an': 2673}
  • id: 75025761
    {'hecke_orbit_code': 4503599660974951, 'n': 257, 'trace_an': 2986}
  • id: 75025762
    {'hecke_orbit_code': 4503599660974951, 'n': 263, 'trace_an': 1139}
  • id: 75025763
    {'hecke_orbit_code': 4503599660974951, 'n': 269, 'trace_an': 1168}
  • id: 75025764
    {'hecke_orbit_code': 4503599660974951, 'n': 271, 'trace_an': 393}
  • id: 75025765
    {'hecke_orbit_code': 4503599660974951, 'n': 277, 'trace_an': 474}
  • id: 75025766
    {'hecke_orbit_code': 4503599660974951, 'n': 281, 'trace_an': 822}
  • id: 75025767
    {'hecke_orbit_code': 4503599660974951, 'n': 283, 'trace_an': 367}
  • id: 75025768
    {'hecke_orbit_code': 4503599660974951, 'n': 289, 'trace_an': 2943}
  • id: 75025769
    {'hecke_orbit_code': 4503599660974951, 'n': 293, 'trace_an': 1554}
  • id: 75025770
    {'hecke_orbit_code': 4503599660974951, 'n': 307, 'trace_an': 420}
  • id: 75025771
    {'hecke_orbit_code': 4503599660974951, 'n': 311, 'trace_an': 955}
  • id: 75025772
    {'hecke_orbit_code': 4503599660974951, 'n': 313, 'trace_an': 1359}
  • id: 75025773
    {'hecke_orbit_code': 4503599660974951, 'n': 317, 'trace_an': 1322}
  • id: 75025774
    {'hecke_orbit_code': 4503599660974951, 'n': 331, 'trace_an': 304}
  • id: 75025775
    {'hecke_orbit_code': 4503599660974951, 'n': 337, 'trace_an': 729}
  • id: 75025776
    {'hecke_orbit_code': 4503599660974951, 'n': 343, 'trace_an': 379}
  • id: 75025777
    {'hecke_orbit_code': 4503599660974951, 'n': 347, 'trace_an': 873}
  • id: 75025778
    {'hecke_orbit_code': 4503599660974951, 'n': 349, 'trace_an': 422}
  • id: 75025779
    {'hecke_orbit_code': 4503599660974951, 'n': 353, 'trace_an': 3241}
  • id: 75025780
    {'hecke_orbit_code': 4503599660974951, 'n': 359, 'trace_an': 472}
  • id: 75025781
    {'hecke_orbit_code': 4503599660974951, 'n': 361, 'trace_an': 2953}
  • id: 75025782
    {'hecke_orbit_code': 4503599660974951, 'n': 367, 'trace_an': 693}
  • id: 75025783
    {'hecke_orbit_code': 4503599660974951, 'n': 373, 'trace_an': 508}
  • id: 75025784
    {'hecke_orbit_code': 4503599660974951, 'n': 379, 'trace_an': 116}
  • id: 75025785
    {'hecke_orbit_code': 4503599660974951, 'n': 383, 'trace_an': 1324}
  • id: 75025786
    {'hecke_orbit_code': 4503599660974951, 'n': 389, 'trace_an': 1116}
  • id: 75025787
    {'hecke_orbit_code': 4503599660974951, 'n': 397, 'trace_an': 796}
  • id: 75025788
    {'hecke_orbit_code': 4503599660974951, 'n': 401, 'trace_an': 1102}
  • id: 75025789
    {'hecke_orbit_code': 4503599660974951, 'n': 409, 'trace_an': 744}
  • id: 75025790
    {'hecke_orbit_code': 4503599660974951, 'n': 419, 'trace_an': 916}
  • id: 75025791
    {'hecke_orbit_code': 4503599660974951, 'n': 421, 'trace_an': 209}
  • id: 75025792
    {'hecke_orbit_code': 4503599660974951, 'n': 431, 'trace_an': 296}
  • id: 75025793
    {'hecke_orbit_code': 4503599660974951, 'n': 433, 'trace_an': 1763}
  • id: 75025794
    {'hecke_orbit_code': 4503599660974951, 'n': 439, 'trace_an': 274}
  • id: 75025795
    {'hecke_orbit_code': 4503599660974951, 'n': 443, 'trace_an': 1561}
  • id: 75025796
    {'hecke_orbit_code': 4503599660974951, 'n': 449, 'trace_an': 1577}
  • id: 75025797
    {'hecke_orbit_code': 4503599660974951, 'n': 457, 'trace_an': 851}
  • id: 75025798
    {'hecke_orbit_code': 4503599660974951, 'n': 461, 'trace_an': 1402}
  • id: 75025799
    {'hecke_orbit_code': 4503599660974951, 'n': 463, 'trace_an': 568}
  • id: 75025800
    {'hecke_orbit_code': 4503599660974951, 'n': 467, 'trace_an': 1779}
  • id: 75025801
    {'hecke_orbit_code': 4503599660974951, 'n': 479, 'trace_an': 796}
  • id: 75025802
    {'hecke_orbit_code': 4503599660974951, 'n': 487, 'trace_an': 358}
  • id: 75025803
    {'hecke_orbit_code': 4503599660974951, 'n': 491, 'trace_an': 796}
  • id: 75025804
    {'hecke_orbit_code': 4503599660974951, 'n': 499, 'trace_an': 189}
  • id: 75025805
    {'hecke_orbit_code': 4503599660974951, 'n': 503, 'trace_an': 1324}
  • id: 75025806
    {'hecke_orbit_code': 4503599660974951, 'n': 509, 'trace_an': 1547}
  • id: 75025807
    {'hecke_orbit_code': 4503599660974951, 'n': 512, 'trace_an': 1755}
  • id: 75025808
    {'hecke_orbit_code': 4503599660974951, 'n': 521, 'trace_an': 2399}
  • id: 75025809
    {'hecke_orbit_code': 4503599660974951, 'n': 523, 'trace_an': 640}
  • id: 75025810
    {'hecke_orbit_code': 4503599660974951, 'n': 529, 'trace_an': 3049}
  • id: 75025811
    {'hecke_orbit_code': 4503599660974951, 'n': 541, 'trace_an': 190}
  • id: 75025812
    {'hecke_orbit_code': 4503599660974951, 'n': 547, 'trace_an': 320}
  • id: 75025813
    {'hecke_orbit_code': 4503599660974951, 'n': 557, 'trace_an': 1303}
  • id: 75025814
    {'hecke_orbit_code': 4503599660974951, 'n': 563, 'trace_an': 1407}
  • id: 75025815
    {'hecke_orbit_code': 4503599660974951, 'n': 569, 'trace_an': 1421}
  • id: 75025816
    {'hecke_orbit_code': 4503599660974951, 'n': 571, 'trace_an': 157}
  • id: 75025817
    {'hecke_orbit_code': 4503599660974951, 'n': 577, 'trace_an': 1983}
  • id: 75025818
    {'hecke_orbit_code': 4503599660974951, 'n': 587, 'trace_an': 2237}
  • id: 75025819
    {'hecke_orbit_code': 4503599660974951, 'n': 593, 'trace_an': 3525}
  • id: 75025820
    {'hecke_orbit_code': 4503599660974951, 'n': 599, 'trace_an': 884}
  • id: 75025821
    {'hecke_orbit_code': 4503599660974951, 'n': 601, 'trace_an': 991}
  • id: 75025822
    {'hecke_orbit_code': 4503599660974951, 'n': 607, 'trace_an': 503}
  • id: 75025823
    {'hecke_orbit_code': 4503599660974951, 'n': 613, 'trace_an': 546}
  • id: 75025824
    {'hecke_orbit_code': 4503599660974951, 'n': 617, 'trace_an': 2520}
  • id: 75025825
    {'hecke_orbit_code': 4503599660974951, 'n': 619, 'trace_an': 412}
  • id: 75025826
    {'hecke_orbit_code': 4503599660974951, 'n': 625, 'trace_an': 3639}
  • id: 75025827
    {'hecke_orbit_code': 4503599660974951, 'n': 631, 'trace_an': 183}
  • id: 75025828
    {'hecke_orbit_code': 4503599660974951, 'n': 641, 'trace_an': 1823}
  • id: 75025829
    {'hecke_orbit_code': 4503599660974951, 'n': 643, 'trace_an': 538}
  • id: 75025830
    {'hecke_orbit_code': 4503599660974951, 'n': 647, 'trace_an': 2329}
  • id: 75025831
    {'hecke_orbit_code': 4503599660974951, 'n': 653, 'trace_an': 2319}
  • id: 75025832
    {'hecke_orbit_code': 4503599660974951, 'n': 659, 'trace_an': 737}
  • id: 75025833
    {'hecke_orbit_code': 4503599660974951, 'n': 661, 'trace_an': 435}
  • id: 75025834
    {'hecke_orbit_code': 4503599660974951, 'n': 673, 'trace_an': 1077}
  • id: 75025835
    {'hecke_orbit_code': 4503599660974951, 'n': 677, 'trace_an': 1789}
  • id: 75025836
    {'hecke_orbit_code': 4503599660974951, 'n': 683, 'trace_an': 1023}
  • id: 75025837
    {'hecke_orbit_code': 4503599660974951, 'n': 691, 'trace_an': 314}
  • id: 75025838
    {'hecke_orbit_code': 4503599660974951, 'n': 701, 'trace_an': 725}
  • id: 75025839
    {'hecke_orbit_code': 4503599660974951, 'n': 709, 'trace_an': 291}
  • id: 75025840
    {'hecke_orbit_code': 4503599660974951, 'n': 719, 'trace_an': 1506}
  • id: 75025841
    {'hecke_orbit_code': 4503599660974951, 'n': 727, 'trace_an': 976}
  • id: 75025842
    {'hecke_orbit_code': 4503599660974951, 'n': 729, 'trace_an': 4528}
  • id: 75025843
    {'hecke_orbit_code': 4503599660974951, 'n': 733, 'trace_an': 1048}
  • id: 75025844
    {'hecke_orbit_code': 4503599660974951, 'n': 739, 'trace_an': 248}
  • id: 75025845
    {'hecke_orbit_code': 4503599660974951, 'n': 743, 'trace_an': 875}
  • id: 75025846
    {'hecke_orbit_code': 4503599660974951, 'n': 751, 'trace_an': 193}
  • id: 75025847
    {'hecke_orbit_code': 4503599660974951, 'n': 757, 'trace_an': 1194}
  • id: 75025848
    {'hecke_orbit_code': 4503599660974951, 'n': 761, 'trace_an': 2630}
  • id: 75025849
    {'hecke_orbit_code': 4503599660974951, 'n': 769, 'trace_an': 862}
  • id: 75025850
    {'hecke_orbit_code': 4503599660974951, 'n': 773, 'trace_an': 2933}
  • id: 75025851
    {'hecke_orbit_code': 4503599660974951, 'n': 787, 'trace_an': 327}
  • id: 75025852
    {'hecke_orbit_code': 4503599660974951, 'n': 797, 'trace_an': 3232}
  • id: 75025853
    {'hecke_orbit_code': 4503599660974951, 'n': 809, 'trace_an': 1908}
  • id: 75025854
    {'hecke_orbit_code': 4503599660974951, 'n': 811, 'trace_an': 166}
  • id: 75025855
    {'hecke_orbit_code': 4503599660974951, 'n': 821, 'trace_an': 769}
  • id: 75025856
    {'hecke_orbit_code': 4503599660974951, 'n': 823, 'trace_an': 741}
  • id: 75025857
    {'hecke_orbit_code': 4503599660974951, 'n': 827, 'trace_an': 846}
  • id: 75025858
    {'hecke_orbit_code': 4503599660974951, 'n': 829, 'trace_an': 850}
  • id: 75025859
    {'hecke_orbit_code': 4503599660974951, 'n': 839, 'trace_an': 1122}
  • id: 75025860
    {'hecke_orbit_code': 4503599660974951, 'n': 841, 'trace_an': 3277}
  • id: 75025861
    {'hecke_orbit_code': 4503599660974951, 'n': 853, 'trace_an': 949}
  • id: 75025862
    {'hecke_orbit_code': 4503599660974951, 'n': 857, 'trace_an': 3283}
  • id: 75025863
    {'hecke_orbit_code': 4503599660974951, 'n': 859, 'trace_an': 632}
  • id: 75025864
    {'hecke_orbit_code': 4503599660974951, 'n': 863, 'trace_an': 1571}
  • id: 75025865
    {'hecke_orbit_code': 4503599660974951, 'n': 877, 'trace_an': 434}
  • id: 75025866
    {'hecke_orbit_code': 4503599660974951, 'n': 881, 'trace_an': 3361}
  • id: 75025867
    {'hecke_orbit_code': 4503599660974951, 'n': 883, 'trace_an': 727}
  • id: 75025868
    {'hecke_orbit_code': 4503599660974951, 'n': 887, 'trace_an': 1592}
  • id: 75025869
    {'hecke_orbit_code': 4503599660974951, 'n': 907, 'trace_an': 396}
  • id: 75025870
    {'hecke_orbit_code': 4503599660974951, 'n': 911, 'trace_an': 993}
  • id: 75025871
    {'hecke_orbit_code': 4503599660974951, 'n': 919, 'trace_an': 89}
  • id: 75025872
    {'hecke_orbit_code': 4503599660974951, 'n': 929, 'trace_an': 3521}
  • id: 75025873
    {'hecke_orbit_code': 4503599660974951, 'n': 937, 'trace_an': 2072}
  • id: 75025874
    {'hecke_orbit_code': 4503599660974951, 'n': 941, 'trace_an': 1135}
  • id: 75025875
    {'hecke_orbit_code': 4503599660974951, 'n': 947, 'trace_an': 1671}
  • id: 75025876
    {'hecke_orbit_code': 4503599660974951, 'n': 953, 'trace_an': 3261}
  • id: 75025877
    {'hecke_orbit_code': 4503599660974951, 'n': 961, 'trace_an': 3412}
  • id: 75025878
    {'hecke_orbit_code': 4503599660974951, 'n': 967, 'trace_an': 392}
  • id: 75025879
    {'hecke_orbit_code': 4503599660974951, 'n': 971, 'trace_an': 1432}
  • id: 75025880
    {'hecke_orbit_code': 4503599660974951, 'n': 977, 'trace_an': 3038}
  • id: 75025881
    {'hecke_orbit_code': 4503599660974951, 'n': 983, 'trace_an': 2064}
  • id: 75025882
    {'hecke_orbit_code': 4503599660974951, 'n': 991, 'trace_an': 149}
  • id: 75025883
    {'hecke_orbit_code': 4503599660974951, 'n': 997, 'trace_an': 1235}